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Finding the Fourth Proportional to 4,694.76, 6,478.32 and 2,805.97

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Solution

The fourth proportional to 4,694.76, 6,478.32 and 2,805.97 is: 3,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.76 : 6,478.32 = 2,805.97 : x
  2. Step 2: Convert to fraction form
    4,694.76/6,478.32 = 2,805.97/x
  3. Step 3: Cross multiply
    4,694.76x = 6,478.32 × 2,805.97
  4. Step 4: Simplify right side
    4,694.76x = 18,177,955.37
  5. Step 5: Solve for x
    x = 18,177,955.37/4,694.76
  6. Step 6: Final answer
    x = 3,871.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.